2004/09/30 by Stefan Fredenhagen, Volker Schomerus · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Boundary (topology) #Boundary conformal field theory #Boundary value problem #Brane cosmology #Homotopy and Cohomology in Algebraic Topology #Operator (biology) #Operator product expansion #Spectrum (functional analysis) #String theory #Tachyon #hep-th
paper · pdf · doi:10.1088/1126-6708/2005/05/025
published as JHEP0505:025,2005 · 37 pages, 1 figure. Minor error corrected, slight change in result (1.6)
arxiv created 2005/04/27 · openalex publication_date 2005/05/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The c=1 Liouville theory has received some attention recently as the Euclidean version of an exact rolling tachyon background. In an earlier paper it was shown that the bulk theory can be identified with the interacting c=1 limit of unitary minimal models. Here we extend the analysis of the c=1-limit to the boundary problem. Most importantly, we show that the FZZT branes of Liouville theory give rise to a new 1-parameter family of boundary theories at c=1. These models share many features with the boundary Sine-Gordon theory, in particular they possess an open string spectrum with band-gaps of finite width. We propose explicit formulas for the boundary 2-point function and for the bulk-boundary operator product expansion in the c=1 boundary Liouville model. As a by-product of our analysis we also provide a nice geometric interpretation for ZZ branes and their relation with FZZT branes in the c=1 theory.